Answer:
41.41 m
Explanation:
When force F is applied on an object of mass m for time t and velocity v₁ is created
F X t = mv₁
F = 95 N , t = .53 s, m = 655 kg
95 x .53 = 655 x v₁
v₁ = .0768 m/s
Applying conservation of momentum on man and satellite
m₁ v₁ = m₂v₂
655 x .0768 = 82 xv₂
v₂ = .6134 m/s
their relative velocity
= .6134 + .0768
= .6902 ( they are in opposite direction )
After 60 second distance between them
= 60 x .6902 m
= 41.41 m
Answer:
t = 0.2845Nm (rounded to 4 decimal places)
Explanation:
The disk rotates at a distance of an arc length of 28cm
Arc length = radius × central angle × π/180
28cm = 10cm × central angle × π/180
Central angle =
× 180/π ≈ 160.4°
Torque (t) = rFsin(central angle) , where F is the applied force
Radius in meters = 10/100 = 0.1m
t = 0.1m × 16N × sin160.4°
t = 0.2845Nm (rounded to 4 decimal places)
Answer:
= 0.55 m
Explanation:
A standing wave is characterized by anti-nodes and nodes.
Antinodes are points on a standing wave at maximum amplitude, while nodes are points on the standing wave that are stationary and have zero amplitude.
The distance between two adjacent nodes or two adjacent anti-nodes is equivalent to half the wavelength.
Therefore, in this case the half wavelength is 27.5 cm.
Thus, wavelength = 27.5 × 2
= 55 cm
<u>= 0.55 m</u>
Answer:
0.29 m/s due west.
Explanation:
According to newton's second law,
Net force acting on an object = mass×acceleration
From the question,
F+F₁+F₂ = ma................ Equation 1
Where F = The force generated from the engine, F₁ = Force exerted by the wind, F₂ = Force exerted due to the water, m = mass of the boat, a = acceleration of the boat.
Given: F = 4080 N , F₁ = -680 N(east), F₂ = -1160 N(east). m = 7660 kg
substitute into equation 1
4080-680-1160 = 7660(a)
2240 = 7660a
Therefore,
a = 2440/7660
a = 0.29 m/s due west.
Choices 1, 2, and 4 . . . . . Yes
Choices 3 and 5 . . . . . No